Question

A population of rabbits R,(T) can be found at any given time, t , by using the formula R (T) = 30(3.4)¹.

By what factor will the population of rabbits increase from time t equals zero to time t equal 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the increase in population from time t = 0 to t = 2, we need to calculate R(2) - R(0).

R(2) = 30(3.4)^2 = 30(11.56) = 346.8
R(0) = 30(3.4)^0 = 30(1) = 30

Now, we can find the increase factor:
Increase factor = R(2) / R(0) = 346.8 / 30 ≈ 11.56

Therefore, the population of rabbits will increase by a factor of approximately 11.56 from time t = 0 to t = 2.